We observe that the elementary logistic differential equation dP/dt=(1-P/M)kP may be solved by first changing the variable to R=(M-P)/P. This reduces the logistic differential equation to the simple linear differential equation dR/dt=-kR, which can be ...
Bradley, David M.
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With Andrzej Lasota There and Back Again
The paper below is a written version of the 17th Andrzej Lasota Lecture presented on January 12th, 2024 in Katowice. During the lecture we tried to show the impact of Andrzej Lasota’s results on the author’s research concerning various fields of ...
Rudnicki Ryszard
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A model of competing species that exhibits zip bifurcation
The purpose of this paper is to present a concrete model of competing population species that exhibits a phenomenon called zip bifurcation. The Zip Bifurcation was introduced by Farkas in 1984 for a three dimensional ODE prey-predator system describing a
Luis F. Echeverri +2 more
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Traveling Waves in a SIRH Model with Spatio-Temporal Delay and Nonlocal Dispersal. [PDF]
Yang L, Yang YR, Song X.
europepmc +1 more source
Construction and Stationary Distribution of the Fleming-Viot Process with Viability Selection [PDF]
This paper provides an explicit construction of the Fleming-Viot process with viability selection in a Bayesian nonparametric framework, and derives its stationary distribution. The measure-valued diffusion is obtained as the infinite population limit of
Matteo Ruggiero, Stephen G. Walker
core
A non-standard numerical scheme for an alcohol-abuse model with induced-complications. [PDF]
Sandow EAB, Seidu B, Abagna S.
europepmc +1 more source
Discrete-time COVID-19 epidemic model with chaos, stability and bifurcation. [PDF]
Al-Basyouni KS, Khan AQ.
europepmc +1 more source
Cost optimisation of hybrid institutional incentives for promoting cooperation in finite populations. [PDF]
Duong MH, Durbac CM, Han TA.
europepmc +1 more source
Dynamics and profiles of a degenerated reaction-diffusion host-pathogen model with apparent and inapparent infection period. [PDF]
Wang J, Lu H.
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Amendment to: populations in environments with a soft carrying capacity are eventually extinct. [PDF]
Jagers P, Zuyev S.
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